Question

58Let's compareand9colaD=0First, write the fractions with the same denominator.x?85ola:-=96LJILThen, use <, = , of > to compare the fractions.5.

Answer 1

Solution

We are to compare

$\begin{gathered} \frac{8}{9} \\ \text{and} \\ \frac{5}{6} \end{gathered}$

First LCM of 9 and 6 is 18

$\begin{gathered} \frac{8}{9}=\frac{8}{9}\times1 \\ \frac{8}{9}=\frac{8}{9}\times\frac{2}{2} \\ \frac{8}{9}=\frac{16}{18} \end{gathered}$

Similarly

$\begin{gathered} \frac{5}{6}=\frac{5}{6}\times1 \\ \frac{5}{6}=\frac{5}{6}\times\frac{3}{3} \\ \frac{5}{6}=\frac{15}{18} \end{gathered}$

Now

$\frac{8}{9}=\frac{16}{18}>\frac{15}{18}=\frac{5}{6}$

Therefore,

$\frac{8}{9}>\frac{5}{6}$